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Finding the Third Proportional to 630,609.75 and 976,898.25

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Solution

The third proportional to 630,609.75 and 976,898.25 is: 1,513,345.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,609.75 : 976,898.25 = 976,898.25 : x
  2. Step 2: Convert to fraction form
    630,609.75/976,898.25 = 976,898.25/x
  3. Step 3: Cross multiply
    630,609.75x = 976,898.25 × 976,898.25
  4. Step 4: Simplify right side
    630,609.75x = 954,330,190,853.06
  5. Step 5: Solve for x
    x = 954,330,190,853.06/630,609.75
  6. Step 6: Final answer
    x = 1,513,345.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.